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Finding the Fourth Proportional to 209.02, 313.67 and 100.75

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Solution

The fourth proportional to 209.02, 313.67 and 100.75 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.02 : 313.67 = 100.75 : x
  2. Step 2: Convert to fraction form
    209.02/313.67 = 100.75/x
  3. Step 3: Cross multiply
    209.02x = 313.67 × 100.75
  4. Step 4: Simplify right side
    209.02x = 31,602.25
  5. Step 5: Solve for x
    x = 31,602.25/209.02
  6. Step 6: Final answer
    x = 151.19

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